Abstract-The results of physical and numerical modeling of electromagnetic wavefront sharpening in a nonlinear dielectric are given. A technique of mathematical modeling of wave propagation is described in terms of a modified vector magnetic potential. It is shown how the level of the applied field strength and the degree of nonlinearity of the dielectric affect the electromagnetic wavefront sharpening.

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In the paper, the statistical modeling method of the lightning attachment process to extended objects has been proposed. The modeling takes into account the probabilities of lightning occurrence with current of different amplitudes, and nonlinear variation of spark resistance at leader channel growth. The method also takes into consideration dependence of velocity and acceleration of a lightning leader on its potential. The method is implemented to analyze a high voltage substation lightning protection system.

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